Modular structure theory on Hom-Lie algebras
Rings and Algebras
2023-12-01 v2
Abstract
The aim of this paper is to transfer the restrictedness theory to Hom-Lie algebras. The concept of restricted Hom-Lie algebras which is introduced in \cite{BM2} will be used in this paper. First, the existence of -structures on a Hom-Lie algebra is studied and the direct sum of restricted Hom-Lie algebras is analyzed. Then, the definition of a restrictable Hom-Lie algebra is given and the equivalence relation between restrictable Hom-Lie algebras and restricted Hom-Lie algebras is constructed. Finally, the -envelopes of a Hom-Lie algebra are defined and studied.
Cite
@article{arxiv.2311.08406,
title = {Modular structure theory on Hom-Lie algebras},
author = {Dan Mao and Baoling Guan and Liangyun Chen},
journal= {arXiv preprint arXiv:2311.08406},
year = {2023}
}
Comments
18pages